Salaries of Virat and Sachin are in the ratio 2 : 3. If the salary of each is increased by Rs. 7000, the new ratio becomes 11:13. What is Sachin's salary?
Question
Salaries of Virat and Sachin are in the ratio 2 : 3.
If the salary of each is increased by Rs. 7000, the new ratio becomes 11:13.
What is Sachin's salary?
Solution
Let's solve this step by step:
Step 1: Let's assume the initial salaries of Virat and Sachin are 2x and 3x respectively.
Step 2: According to the problem, each of their salaries is increased by Rs. 7000. So, the new salaries are (2x + 7000) for Virat and (3x + 7000) for Sachin.
Step 3: It's given that the new ratio of their salaries is 11:13. So, we can write the equation as (2x + 7000) / (3x + 7000) = 11 / 13.
Step 4: Cross-multiplying to solve the equation, we get 26x + 91000 = 33x + 77000.
Step 5: Simplifying the equation, we get 7x = 14000.
Step 6: Solving for x, we get x = 2000.
Step 7: Substituting x = 2000 in 3x (Sachin's salary), we get Sachin's salary = 3*2000 = Rs. 6000.
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